Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics) (Volume 60)

Arnold, VI and Vogtmann, K (Trans)

ISBN 10: 0387903143 / ISBN 13: 9780387903149

Editore: Springer, 1980

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Volume 60. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Front hinge split. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,900grams, ISBN:0387903143.

Codice articolo 9789258

Dati bibliografici

• Titolo: Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics) (Volume 60)
• Editore: Springer
• Data di pubblicazione: 1980
• Lingua: Inglese
• ISBN 10: 0387903143
• ISBN 13: 9780387903149
• Rilegatura: Rilegato
• Condizione: Poor
• Cataloghi dei venditori:
  • Mathematics

Descrizione articolo

Riassunto

Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so hard to study. In this book we construct the mathematical apparatus of classical mechanics from the very beginning; thus, the reader is not assumed to have any previous knowledge beyond standard courses in analysis (differential and integral calculus, differential equations), geometry (vector spaces, vectors) and linear algebra (linear operators, quadratic forms). With the help of this apparatus, we examine all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the hamiltonian formalism. The author has tried to show the geometric, qualitative aspect of phenomena. In this respect the book is closer to courses in theoretical mechanics for theoretical physicists than to traditional courses in theoretical mechanics as taught by mathematicians.

Recensione

Second Edition

V.I. Arnol’d

Mathematical Methods of Classical Mechanics

"The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising . . . The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview."

―AMERICAN MATHEMATICAL MONTHLY